4016135844 has 432 divisors, whose sum is σ = 13113067968. Its totient is φ = 1069915392.

The previous prime is 4016135843. The next prime is 4016135861. The reversal of 4016135844 is 4485316104.

It is a super-2 number, since 2×4016135844² = 32258694234923184672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4016135799 and 4016135808.

It is not an unprimeable number, because it can be changed into a prime (4016135843) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75776122 + ... + 75776174.

It is an arithmetic number, because the mean of its divisors is an integer number (30354324).

Almost surely, 2^4016135844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016135844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556533984).

4016135844 is an abundant number, since it is smaller than the sum of its proper divisors (9096932124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4016135844 is a wasteful number, since it uses less digits than its factorization.

4016135844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4016135844 is about 63372.9898616122. The cubic root of 4016135844 is about 1589.5326928588.

The spelling of 4016135844 in words is "four billion, sixteen million, one hundred thirty-five thousand, eight hundred forty-four".